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Finding the Third Proportional to 6,091,402,344 and 8,218,731,984

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Solution

The third proportional to 6,091,402,344 and 8,218,731,984 is: 11,088,999,151.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091,402,344 : 8,218,731,984 = 8,218,731,984 : x
  2. Step 2: Convert to fraction form
    6,091,402,344/8,218,731,984 = 8,218,731,984/x
  3. Step 3: Cross multiply
    6,091,402,344x = 8,218,731,984 × 8,218,731,984
  4. Step 4: Simplify right side
    6,091,402,344x = 67,547,555,424,824,573,952
  5. Step 5: Solve for x
    x = 67,547,555,424,824,573,952/6,091,402,344
  6. Step 6: Final answer
    x = 11,088,999,151.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.